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106131830 = 25710611429
BaseRepresentation
bin1100101001101…
…11000101110110
321101201001111112
412110313011312
5204132204310
614310435022
72426051150
oct624670566
9241631445
10106131830
11549aa462
122b662a72
1318cac7cc
1410149ad0
1594b6705
hex6537176

106131830 has 32 divisors (see below), whose sum is σ = 218687040. Its totient is φ = 36328320.

The previous prime is 106131827. The next prime is 106131841. The reversal of 106131830 is 38131601.

It is a super-2 number, since 2×1061318302 = 22527930678297800, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 106131796 and 106131805.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 73556 + ... + 74984.

It is an arithmetic number, because the mean of its divisors is an integer number (6833970).

Almost surely, 2106131830 is an apocalyptic number.

106131830 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

106131830 is an abundant number, since it is smaller than the sum of its proper divisors (112555210).

106131830 is a wasteful number, since it uses less digits than its factorization.

106131830 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2504.

The product of its (nonzero) digits is 432, while the sum is 23.

The square root of 106131830 is about 10302.0303824052. The cubic root of 106131830 is about 473.4584633581.

The spelling of 106131830 in words is "one hundred six million, one hundred thirty-one thousand, eight hundred thirty".

Divisors: 1 2 5 7 10 14 35 70 1061 1429 2122 2858 5305 7145 7427 10003 10610 14290 14854 20006 37135 50015 74270 100030 1516169 3032338 7580845 10613183 15161690 21226366 53065915 106131830